On Properties of the Intrinsic Geometry of Submanifolds in a Riemannian Manifold
classification
🧮 math.MG
keywords
intrinsicgeometrymetricpropertiesalexandrovapproachboundaryclassical
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In the paper we study the properties of a metric function which is the extension by continuity of the intrinsic metric of the interior of a submanifold to its boundary. This approach is the development of the classical intrinsic geometry of surfaces studied by A.D. Alexandrov and his school.
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